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10852209252 = 22341913113457
BaseRepresentation
bin10100001101101011…
…11001001001100100
31001000022100100110000
422012311321021210
5134211131144002
64552504301300
7532633154013
oct120665711144
931008310400
1010852209252
114669875485
12212a471830
13103c4201c1
1474d3dca7a
15437ae961c
hex286d79264

10852209252 has 120 divisors (see below), whose sum is σ = 30093164640. Its totient is φ = 3400600320.

The previous prime is 10852209241. The next prime is 10852209253. The reversal of 10852209252 is 25290225801.

10852209252 is a `hidden beast` number, since 108 + 522 + 0 + 9 + 25 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10852209253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 799708 + ... + 813164.

It is an arithmetic number, because the mean of its divisors is an integer number (250776372).

Almost surely, 210852209252 is an apocalyptic number.

10852209252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10852209252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15046582320).

10852209252 is an abundant number, since it is smaller than the sum of its proper divisors (19240955388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10852209252 is a wasteful number, since it uses less digits than its factorization.

10852209252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13623 (or 13612 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10852209252 in words is "ten billion, eight hundred fifty-two million, two hundred nine thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 131 162 171 228 262 324 342 393 513 524 684 786 1026 1179 1539 1572 2052 2358 2489 3078 3537 4716 4978 6156 7074 7467 9956 10611 13457 14148 14934 21222 22401 26914 29868 40371 42444 44802 53828 67203 80742 89604 121113 134406 161484 201609 242226 255683 268812 363339 403218 484452 511366 726678 767049 806436 1022732 1090017 1453356 1534098 1762867 2180034 2301147 3068196 3525734 4360068 4602294 5288601 6903441 7051468 9204588 10577202 13806882 15865803 20710323 21154404 27613764 31731606 33494473 41420646 47597409 63463212 66988946 82841292 95194818 100483419 133977892 142792227 190389636 200966838 285584454 301450257 401933676 571168908 602900514 904350771 1205801028 1808701542 2713052313 3617403084 5426104626 10852209252